Question

Determine if you UTV and RQS are similar if so right the similarities statement

Answer 1

Based on the given triangles, let's check if they satisfy the SSS congruence. To prove that we have SSS congruence for triangles UTV and RQS, the sides must have equal proportions. Let's check the ratio for UT to RQ, TV to QS, and VU to SR. We have the following

$\begin{gathered} \frac{UT}{RQ}=\frac{70}{25}=\frac{14}{5} \\ \frac{TV}{QS}=\frac{42}{15}=\frac{14}{5} \\ \frac{VU}{SR}=\frac{84}{30}=\frac{14}{5} \end{gathered}$

All side ratio has the same value, hence, triangle UTV and triangle RQS are congruent based on SSS congruence.